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3674039424 = 273111945779
BaseRepresentation
bin1101101011111101…
…0110010010000000
3100111001100112121020
43122333112102000
530011023230144
61404323225440
7160021551126
oct33277262200
910431315536
103674039424
111615999220
12866518280
13467234433
1426bd43916
15167839419
hexdafd6480

3674039424 has 128 divisors (see below), whose sum is σ = 11206944000. Its totient is φ = 1054725120.

The previous prime is 3674039423. The next prime is 3674039441. The reversal of 3674039424 is 4249304763.

It is a happy number.

3674039424 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 tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3674039423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57367 + ... + 103145.

It is an arithmetic number, because the mean of its divisors is an integer number (87554250).

Almost surely, 23674039424 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 3674039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603472000).

3674039424 is an abundant number, since it is smaller than the sum of its proper divisors (7532904576).

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

3674039424 is a wasteful number, since it uses less digits than its factorization.

3674039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45826 (or 45814 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3674039424 is about 60613.8550498151. The cubic root of 3674039424 is about 1543.0545188210.

The spelling of 3674039424 in words is "three billion, six hundred seventy-four million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 3344 3648 4224 5016 6688 7296 10032 13376 20064 26752 40128 45779 80256 91558 137337 183116 274674 366232 503569 549348 732464 869801 1007138 1098696 1464928 1510707 1739602 2014276 2197392 2609403 2929856 3021414 3479204 4028552 4394784 5218806 5859712 6042828 6958408 8057104 8789568 9567811 10437612 12085656 13916816 16114208 17579136 19135622 20875224 24171312 27833632 28703433 32228416 38271244 41750448 48342624 55667264 57406866 64456832 76542488 83500896 96685248 111334528 114813732 153084976 167001792 193370496 229627464 306169952 334003584 459254928 612339904 918509856 1224679808 1837019712 3674039424