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3370472376 = 2333733111467
BaseRepresentation
bin1100100011100101…
…0101001110111000
322200220010201220020
43020321111032320
523400320104001
61314240530440
7146344354035
oct31071251670
98626121806
103370472376
11147a5a8867
127a0920a20
13419387b6b
1423d8c238c
1514ad73736
hexc8e553b8

3370472376 has 64 divisors (see below), whose sum is σ = 8680817280. Its totient is φ = 1089728640.

The previous prime is 3370472351. The next prime is 3370472381. The reversal of 3370472376 is 6732740733.

It is a happy number.

3370472376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33704723762 = 22720168074758170752, 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 15 ways as a sum of consecutive naturals, for example, 288195 + ... + 299661.

It is an arithmetic number, because the mean of its divisors is an integer number (135637770).

Almost surely, 23370472376 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 3370472376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340408640).

3370472376 is an abundant number, since it is smaller than the sum of its proper divisors (5310344904).

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

3370472376 is a wasteful number, since it uses less digits than its factorization.

3370472376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11844 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 42.

The square root of 3370472376 is about 58055.7695324074. The cubic root of 3370472376 is about 1499.3289407200.

The spelling of 3370472376 in words is "three billion, three hundred seventy million, four hundred seventy-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 331 444 662 888 993 1324 1986 2648 3972 7944 11467 12247 22934 24494 34401 36741 45868 48988 68802 73482 91736 97976 137604 146964 275208 293928 424279 848558 1272837 1697116 2545674 3394232 3795577 5091348 7591154 10182696 11386731 15182308 22773462 30364616 45546924 91093848 140436349 280872698 421309047 561745396 842618094 1123490792 1685236188 3370472376