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3400124430 = 2352933711597
BaseRepresentation
bin1100101010101001…
…1100100000001110
322202221221012212110
43022222130200032
523430412440210
61321220244450
7150154403133
oct31252344016
98687835773
103400124430
11149531089a
127aa840726
1342256a661
1424380058a
1514d77e420
hexcaa9c80e

3400124430 has 64 divisors (see below), whose sum is σ = 8467467840. Its totient is φ = 872761344.

The previous prime is 3400124407. The next prime is 3400124437. The reversal of 3400124430 is 344210043.

It is a super-2 number, since 2×34001244302 = 23121692278965649800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3400124397 and 3400124406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400124437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287392 + ... + 298988.

It is an arithmetic number, because the mean of its divisors is an integer number (132304185).

Almost surely, 23400124430 is an apocalyptic number.

3400124430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400124430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233733920).

3400124430 is an abundant number, since it is smaller than the sum of its proper divisors (5067343410).

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

3400124430 is a wasteful number, since it uses less digits than its factorization.

3400124430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3400124430 is about 58310.5859171386. The cubic root of 3400124430 is about 1503.7129395811.

Adding to 3400124430 its reverse (344210043), we get a palindrome (3744334473).

The spelling of 3400124430 in words is "three billion, four hundred million, one hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 337 435 674 870 1011 1685 2022 3370 5055 9773 10110 11597 19546 23194 29319 34791 48865 57985 58638 69582 97730 115970 146595 173955 293190 336313 347910 672626 1008939 1681565 2017878 3363130 3908189 5044695 7816378 10089390 11724567 19540945 23449134 39081890 58622835 113337481 117245670 226674962 340012443 566687405 680024886 1133374810 1700062215 3400124430