Search a number
-
+
4021354368 = 273229120371
BaseRepresentation
bin1110111110110000…
…1111111110000000
3101101020212222010200
43233230033332000
531213431314433
61503011325200
7201436643133
oct35754177600
911336788120
104021354368
111783a4a069
129428b0800
134c118a435
142a211221a
15188092613
hexefb0ff80

4021354368 has 96 divisors (see below), whose sum is σ = 11970995400. Its totient is φ = 1294218240.

The previous prime is 4021354349. The next prime is 4021354433. The reversal of 4021354368 is 8634531204.

4021354368 is a `hidden beast` number, since 4 + 0 + 213 + 5 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26778 + ... + 93593.

Almost surely, 24021354368 is an apocalyptic number.

4021354368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4021354368 is an abundant number, since it is smaller than the sum of its proper divisors (7949641032).

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

4021354368 is a wasteful number, since it uses less digits than its factorization.

4021354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120420 (or 120405 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4021354368 is about 63414.1495882425. The cubic root of 4021354368 is about 1590.2208688072.

The spelling of 4021354368 in words is "four billion, twenty-one million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 120371 240742 361113 481484 722226 962968 1083339 1444452 1925936 2166678 2888904 3490759 3851872 4333356 5777808 6981518 7703744 8666712 10472277 11555616 13963036 15407488 17333424 20944554 23111232 27926072 31416831 34666848 41889108 46222464 55852144 62833662 69333696 83778216 111704288 125667324 138667392 167556432 223408576 251334648 335112864 446817152 502669296 670225728 1005338592 1340451456 2010677184 4021354368