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3374417664 = 2833488197
BaseRepresentation
bin1100100100100001…
…1000011100000000
322201011120011211000
43021020120130000
523402322331124
61314501252000
7146423035242
oct31110303400
98634504730
103374417664
111481852a32
127a2104000
1341a139857
1424022c092
1514b3a26c9
hexc9218700

3374417664 has 72 divisors (see below), whose sum is σ = 9978767120. Its totient is φ = 1124803584.

The previous prime is 3374417659. The next prime is 3374417671. The reversal of 3374417664 is 4667144733.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33744176642 = 22773389142230433792, which contains 22 as substring.

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, 237187 + ... + 251010.

Almost surely, 23374417664 is an apocalyptic number.

It is an amenable number.

3374417664 is an abundant number, since it is smaller than the sum of its proper divisors (6604349456).

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

3374417664 is an equidigital number, since it uses as much as digits as its factorization.

3374417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488222 (or 488202 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 3374417664 is about 58089.7380266085. The cubic root of 3374417664 is about 1499.9137230376.

The spelling of 3374417664 in words is "three billion, three hundred seventy-four million, four hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 488197 976394 1464591 1952788 2929182 3905576 4393773 5858364 7811152 8787546 11716728 13181319 15622304 17575092 23433456 26362638 31244608 35150184 46866912 52725276 62489216 70300368 93733824 105450552 124978432 140600736 187467648 210901104 281201472 374935296 421802208 562402944 843604416 1124805888 1687208832 3374417664