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3370007376 = 243317458879
BaseRepresentation
bin1100100011011110…
…0011101101010000
322200212021010001000
43020313203231100
523400210214001
61314222542000
7146340406251
oct31067435520
98625233030
103370007376
11147a31046a
127a0737900
13419254308
1423d800b28
1514acd0a86
hexc8de3b50

3370007376 has 80 divisors (see below), whose sum is σ = 10242201600. Its totient is φ = 1057254912.

The previous prime is 3370007317. The next prime is 3370007387. The reversal of 3370007376 is 6737000733.

3370007376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33700073762 = 22713899428588810752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3370007376.

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, 222096 + ... + 236783.

It is an arithmetic number, because the mean of its divisors is an integer number (128027520).

Almost surely, 23370007376 is an apocalyptic number.

3370007376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3370007376 is an abundant number, since it is smaller than the sum of its proper divisors (6872194224).

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

3370007376 is a wasteful number, since it uses less digits than its factorization.

3370007376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458913 (or 458901 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 36.

The square root of 3370007376 is about 58051.7646243420. The cubic root of 3370007376 is about 1499.2599869805.

The spelling of 3370007376 in words is "three billion, three hundred seventy million, seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 458879 917758 1376637 1835516 2753274 3671032 4129911 5506548 7342064 7800943 8259822 11013096 12389733 15601886 16519644 22026192 23402829 24779466 31203772 33039288 46805658 49558932 62407544 66078576 70208487 93611316 99117864 124815088 140416974 187222632 198235728 210625461 280833948 374445264 421250922 561667896 842501844 1123335792 1685003688 3370007376