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3402204032 = 27431394447
BaseRepresentation
bin1100101011001001…
…1000001110000000
322210002211212112202
43022302120032000
523431431012112
61321333012332
7150211154123
oct31262301600
98702755482
103402204032
111496501277
127ab4840a8
13422b180a6
14243bc23ba
1514da406c2
hexcac98380

3402204032 has 64 divisors (see below), whose sum is σ = 6986918400. Its totient is φ = 1649217024.

The previous prime is 3402204023. The next prime is 3402204073. The reversal of 3402204032 is 2304022043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3402203995 and 3402204013.

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, 762833 + ... + 767279.

It is an arithmetic number, because the mean of its divisors is an integer number (109170600).

Almost surely, 23402204032 is an apocalyptic number.

3402204032 is a gapful number since it is divisible by the number (32) 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 3402204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493459200).

3402204032 is an abundant number, since it is smaller than the sum of its proper divisors (3584714368).

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

3402204032 is a wasteful number, since it uses less digits than its factorization.

3402204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3402204032 is about 58328.4153050638. The cubic root of 3402204032 is about 1504.0194467080.

Adding to 3402204032 its reverse (2304022043), we get a palindrome (5706226075).

The spelling of 3402204032 in words is "three billion, four hundred two million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 139 172 278 344 556 688 1112 1376 2224 2752 4447 4448 5504 5977 8894 8896 11954 17788 17792 23908 35576 47816 71152 95632 142304 191221 191264 284608 382442 382528 569216 618133 764884 765056 1236266 1529768 2472532 3059536 4945064 6119072 9890128 12238144 19780256 24476288 26579719 39560512 53159438 79121024 106318876 212637752 425275504 850551008 1701102016 3402204032