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3374021504 = 27713927091
BaseRepresentation
bin1100100100011011…
…0111101110000000
322201010211001101102
43021012313232000
523402222142004
61314444553532
7146416465250
oct31106675600
98633731342
103374021504
111481602327
127a1b528a8
1341a02b439
14240167960
1514b32511e
hexc91b7b80

3374021504 has 64 divisors (see below), whose sum is σ = 7737475200. Its totient is φ = 1435553280.

The previous prime is 3374021503. The next prime is 3374021513. The reversal of 3374021504 is 4051204733.

It is a happy number.

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

It is a super-2 number, since 2×33740215042 = 22768042218908844032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374021503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110999 + ... + 138089.

It is an arithmetic number, because the mean of its divisors is an integer number (120898050).

Almost surely, 23374021504 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 3374021504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868737600).

3374021504 is an abundant number, since it is smaller than the sum of its proper divisors (4363453696).

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

3374021504 is a wasteful number, since it uses less digits than its factorization.

3374021504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251 (or 27239 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 3374021504 is about 58086.3280299246. The cubic root of 3374021504 is about 1499.8550236180.

The spelling of 3374021504 in words is "three billion, three hundred seventy-four million, twenty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 278 448 556 896 973 1112 1946 2224 3892 4448 7784 8896 15568 17792 27091 31136 54182 62272 108364 124544 189637 216728 379274 433456 758548 866912 1517096 1733824 3034192 3467648 3765649 6068384 7531298 12136768 15062596 24273536 26359543 30125192 52719086 60250384 105438172 120500768 210876344 241001536 421752688 482003072 843505376 1687010752 3374021504