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331927740 = 22335372449
BaseRepresentation
bin10011110010001…
…101000010111100
3212010120200021000
4103302031002330
51134433141430
652534210300
711140224234
oct2362150274
9763520230
10331927740
11160401251
12931b3990
13539c9361
1432124cc4
151e218e60
hex13c8d0bc

331927740 has 144 divisors (see below), whose sum is σ = 1063692000. Its totient is φ = 85929984.

The previous prime is 331927733. The next prime is 331927753. The reversal of 331927740 is 47729133.

It is a super-2 number, since 2×3319277402 = 220352049163015200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 331927695 and 331927704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739036 + ... + 739484.

It is an arithmetic number, because the mean of its divisors is an integer number (7386750).

Almost surely, 2331927740 is an apocalyptic number.

331927740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331927740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531846000).

331927740 is an abundant number, since it is smaller than the sum of its proper divisors (731764260).

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

331927740 is a wasteful number, since it uses less digits than its factorization.

331927740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 331927740 is about 18218.8841590258. The cubic root of 331927740 is about 692.3853172789.

The spelling of 331927740 in words is "three hundred thirty-one million, nine hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 449 540 555 666 740 898 999 1110 1332 1347 1369 1665 1796 1998 2220 2245 2694 2738 3330 3996 4041 4107 4490 4995 5388 5476 6660 6735 6845 8082 8214 8980 9990 12123 12321 13470 13690 16164 16428 16613 19980 20205 20535 24246 24642 26940 27380 33226 36963 40410 41070 48492 49284 49839 60615 61605 66452 73926 80820 82140 83065 99678 121230 123210 147852 149517 166130 184815 199356 242460 246420 249195 299034 332260 369630 448551 498390 598068 614681 739260 747585 897102 996780 1229362 1495170 1794204 1844043 2242755 2458724 2990340 3073405 3688086 4485510 5532129 6146810 7376172 8971020 9220215 11064258 12293620 16596387 18440430 22128516 27660645 33192774 36880860 55321290 66385548 82981935 110642580 165963870 331927740