Search a number
-
+
331773408 = 2534314129
BaseRepresentation
bin10011110001100…
…111010111100000
3212010021211120000
4103301213113200
51134413222113
652531020000
711136012261
oct2361472740
9763254500
10331773408
111603062aa
129313a600
1353974035
14320c4968
151e1d8373
hex13c675e0

331773408 has 120 divisors (see below), whose sum is σ = 1007455680. Its totient is φ = 106997760.

The previous prime is 331773391. The next prime is 331773433. The reversal of 331773408 is 804377133.

It is a super-2 number, since 2×3317734082 = 220147188511868928, which contains 22 as substring.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78288 + ... + 82416.

It is an arithmetic number, because the mean of its divisors is an integer number (8395464).

Almost surely, 2331773408 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 331773408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503727840).

331773408 is an abundant number, since it is smaller than the sum of its proper divisors (675682272).

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

331773408 is a wasteful number, since it uses less digits than its factorization.

331773408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 331773408 is about 18214.6481711835. The cubic root of 331773408 is about 692.2779909309.

It can be divided in two parts, 33177 and 3408, that added together give a triangular number (36585 = T270).

The spelling of 331773408 in words is "three hundred thirty-one million, seven hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4129 4464 5022 6696 8258 8928 10044 12387 13392 16516 20088 24774 26784 33032 37161 40176 49548 66064 74322 80352 99096 111483 127999 132128 148644 198192 222966 255998 297288 334449 383997 396384 445932 511996 594576 668898 767994 891864 1023992 1151991 1189152 1337796 1535988 1783728 2047984 2303982 2675592 3071976 3455973 3567456 4095968 4607964 5351184 6143952 6911946 9215928 10367919 10702368 12287904 13823892 18431856 20735838 27647784 36863712 41471676 55295568 82943352 110591136 165886704 331773408