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3402656952 = 2331915149417
BaseRepresentation
bin1100101011010000…
…0110110010111000
322210010200212211120
43022310012302320
523432040010302
61321350425240
7150215051442
oct31264066270
98703625746
103402656952
111496790592
127ab662220
13422c462a6
14243c9d492
1514dace9bc
hexcad06cb8

3402656952 has 64 divisors (see below), whose sum is σ = 9013843200. Its totient is φ = 1067385600.

The previous prime is 3402656903. The next prime is 3402656963. The reversal of 3402656952 is 2596562043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44148 + ... + 93564.

It is an arithmetic number, because the mean of its divisors is an integer number (140841300).

Almost surely, 23402656952 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 3402656952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506921600).

3402656952 is an abundant number, since it is smaller than the sum of its proper divisors (5611186248).

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

3402656952 is a wasteful number, since it uses less digits than its factorization.

3402656952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49596 (or 49592 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 3402656952 is about 58332.2976746159. The cubic root of 3402656952 is about 1504.0861848435.

The spelling of 3402656952 in words is "three billion, four hundred two million, six hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 151 152 228 302 453 456 604 906 1208 1812 2869 3624 5738 8607 11476 17214 22952 34428 49417 68856 98834 148251 197668 296502 395336 593004 938923 1186008 1877846 2816769 3755692 5633538 7461967 7511384 11267076 14923934 22385901 22534152 29847868 44771802 59695736 89543604 141777373 179087208 283554746 425332119 567109492 850664238 1134218984 1701328476 3402656952