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3455034440 = 23511131735531
BaseRepresentation
bin1100110111101111…
…1010010001001000
322220210020221020112
43031323322101020
524033442100230
61330501213452
7151422210464
oct31573722110
98823227215
103455034440
111513305570
12805101288
13430a548a0
1424ac154a4
151534c8d95
hexcdefa448

3455034440 has 128 divisors (see below), whose sum is σ = 9670389120. Its totient is φ = 1091481600.

The previous prime is 3455034431. The next prime is 3455034463. The reversal of 3455034440 is 444305543.

It is a super-2 number, since 2×34550344402 = 23874525963172227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3455034397 and 3455034406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79475 + ... + 115005.

It is an arithmetic number, because the mean of its divisors is an integer number (75549915).

Almost surely, 23455034440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835194560).

3455034440 is an abundant number, since it is smaller than the sum of its proper divisors (6215354680).

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

3455034440 is a wasteful number, since it uses less digits than its factorization.

3455034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35583 (or 35579 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 3455034440 is about 58779.5409985481. The cubic root of 3455034440 is about 1511.7644447488.

Adding to 3455034440 its reverse (444305543), we get a palindrome (3899339983).

It can be divided in two parts, 345503 and 4440, that added together give a palindrome (349943).

The spelling of 3455034440 in words is "three billion, four hundred fifty-five million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 143 170 187 220 221 260 286 340 374 440 442 520 572 680 715 748 884 935 1105 1144 1430 1496 1768 1870 2210 2431 2860 3740 4420 4862 5720 7480 8840 9724 12155 19448 24310 35531 48620 71062 97240 142124 177655 284248 355310 390841 461903 604027 710620 781682 923806 1208054 1421240 1563364 1847612 1954205 2309515 2416108 3020135 3126728 3695224 3908410 4619030 4832216 5080933 6040270 6644297 7816820 7852351 9238060 10161866 12080540 13288594 15633640 15704702 18476120 20323732 24161080 25404665 26577188 31409404 33221485 39261755 40647464 50809330 53154376 62818808 66442970 78523510 86375861 101618660 132885940 157047020 172751722 203237320 265771880 314094040 345503444 431879305 691006888 863758610 1727517220 3455034440