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3441434432 = 261923123049
BaseRepresentation
bin1100110100100000…
…0001111101000000
322212211122222112112
43031020001331000
524022001400212
61325253514452
7151165465352
oct31510017500
98784588475
103441434432
111506666697
12800642a28
1342aca2547
142490b50d2
151521de422
hexcd201f40

3441434432 has 56 divisors (see below), whose sum is σ = 7501128000. Its totient is φ = 1559264256.

The previous prime is 3441434429. The next prime is 3441434449. The reversal of 3441434432 is 2344341443.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33557 + ... + 89492.

Almost surely, 23441434432 is an apocalyptic number.

3441434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3441434432 is an abundant number, since it is smaller than the sum of its proper divisors (4059693568).

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

3441434432 is a wasteful number, since it uses less digits than its factorization.

3441434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123103 (or 123093 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

The square root of 3441434432 is about 58663.7403512596. The cubic root of 3441434432 is about 1509.7782566949.

Adding to 3441434432 its reverse (2344341443), we get a palindrome (5785775875).

The spelling of 3441434432 in words is "three billion, four hundred forty-one million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1748 3496 6992 13984 27968 123049 246098 492196 984392 1968784 2337931 2830127 3937568 4675862 5660254 7875136 9351724 11320508 18703448 22641016 37406896 45282032 53772413 74813792 90564064 107544826 149627584 181128128 215089652 430179304 860358608 1720717216 3441434432