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3394934004 = 2237116076053
BaseRepresentation
bin1100101001011010…
…1001010011110100
322202121011111221110
43022112221103310
523423100342004
61320513115020
7150062314530
oct31226512364
98677144843
103394934004
111492396190
127a8b58a70
13421470cb7
14242c4cbc0
1514d0a6589
hexca5a94f4

3394934004 has 96 divisors (see below), whose sum is σ = 9894076416. Its totient is φ = 880202880.

The previous prime is 3394933999. The next prime is 3394934009. The reversal of 3394934004 is 4004394933.

3394934004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3394933999) and next prime (3394934009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394934009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557842 + ... + 563894.

It is an arithmetic number, because the mean of its divisors is an integer number (103063296).

Almost surely, 23394934004 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 3394934004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947038208).

3394934004 is an abundant number, since it is smaller than the sum of its proper divisors (6499142412).

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

3394934004 is a wasteful number, since it uses less digits than its factorization.

3394934004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3394934004 is about 58266.0621974748. The cubic root of 3394934004 is about 1502.9473905771.

The spelling of 3394934004 in words is "three billion, three hundred ninety-four million, nine hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 607 924 1214 1821 2428 3642 4249 6053 6677 7284 8498 12106 12747 13354 16996 18159 20031 24212 25494 26708 36318 40062 42371 46739 50988 66583 72636 80124 84742 93478 127113 133166 140217 169484 186956 199749 254226 266332 280434 399498 466081 508452 560868 798996 932162 1398243 1864324 2796486 3674171 5592972 7348342 11022513 14696684 22045026 25719197 40415881 44090052 51438394 77157591 80831762 102876788 121247643 154315182 161663524 242495286 282911167 308630364 484990572 565822334 848733501 1131644668 1697467002 3394934004