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3401400420 = 223251110331663
BaseRepresentation
bin1100101010111101…
…0100000001100100
322210001100001012100
43022233110001210
523431224303140
61321303452100
7150201266205
oct31257240144
98701301170
103401400420
111496002530
127ab157030
134228c6392
14243a535ac
1514d932530
hexcabd4064

3401400420 has 144 divisors (see below), whose sum is σ = 11273213952. Its totient is φ = 823288320.

The previous prime is 3401400419. The next prime is 3401400421. The reversal of 3401400420 is 240041043.

It is an interprime number because it is at equal distance from previous prime (3401400419) and next prime (3401400421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3401400393 and 3401400402.

It is not an unprimeable number, because it can be changed into a prime (3401400421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044509 + ... + 2046171.

It is an arithmetic number, because the mean of its divisors is an integer number (78286208).

Almost surely, 23401400420 is an apocalyptic number.

3401400420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636606976).

3401400420 is an abundant number, since it is smaller than the sum of its proper divisors (7871813532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401400420 is a wasteful number, since it uses less digits than its factorization.

3401400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3401400420 is about 58321.5262145976. The cubic root of 3401400420 is about 1503.9010192377.

Adding to 3401400420 its reverse (240041043), we get a palindrome (3641441463).

The spelling of 3401400420 in words is "three billion, four hundred one million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1033 1663 1980 2066 3099 3326 4132 4989 5165 6198 6652 8315 9297 9978 10330 11363 12396 14967 15495 16630 18293 18594 19956 20660 22726 24945 29934 30990 33260 34089 36586 37188 45452 46485 49890 54879 56815 59868 61980 68178 73172 74835 91465 92970 99780 102267 109758 113630 136356 149670 164637 170445 182930 185940 204534 219516 227260 274395 299340 329274 340890 365860 409068 511335 548790 658548 681780 823185 1022670 1097580 1646370 1717879 2045340 3292740 3435758 5153637 6871516 8589395 10307274 15460911 17178790 18896669 20614548 25768185 30921822 34357580 37793338 51536370 56690007 61843644 75586676 77304555 94483345 103072740 113380014 154609110 170070021 188966690 226760028 283450035 309218220 340140042 377933380 566900070 680280084 850350105 1133800140 1700700210 3401400420