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331378425 = 33527243233
BaseRepresentation
bin10011110000000…
…110111011111001
3212002112202202000
4103300012323321
51134313102200
652514331213
711132445600
oct2360067371
9762482660
10331378425
11160066574
1292b89b09
1353866311
1432020a37
151e15b300
hex13c06ef9

331378425 has 144 divisors (see below), whose sum is σ = 727721280. Its totient is φ = 147329280.

The previous prime is 331378387. The next prime is 331378429. The reversal of 331378425 is 524873133.

It is not a de Polignac number, because 331378425 - 26 = 331378361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331378425.

It is not an unprimeable number, because it can be changed into a prime (331378429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1422109 + ... + 1422341.

It is an arithmetic number, because the mean of its divisors is an integer number (5053620).

Almost surely, 2331378425 is an apocalyptic number.

331378425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

331378425 is an abundant number, since it is smaller than the sum of its proper divisors (396342855).

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

331378425 is a wasteful number, since it uses less digits than its factorization.

331378425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 331378425 is about 18203.8024873926. The cubic root of 331378425 is about 692.0031581544.

The spelling of 331378425 in words is "three hundred thirty-one million, three hundred seventy-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 49 63 75 105 129 135 147 175 189 215 225 233 245 301 315 387 441 525 645 675 699 735 903 945 1075 1161 1165 1225 1323 1505 1575 1631 1935 2097 2107 2205 2709 3225 3495 3675 4515 4725 4893 5805 5825 6291 6321 6615 7525 8127 8155 9675 10019 10485 10535 11025 11417 13545 14679 17475 18963 22575 24465 29025 30057 31455 31605 33075 34251 40635 40775 44037 50095 52425 52675 56889 57085 67725 70133 73395 90171 94815 102753 122325 150285 157275 158025 171255 203175 210399 220185 250475 270513 284445 285425 308259 350665 366975 450855 474075 490931 513765 631197 751425 856275 1051995 1100925 1352565 1422225 1472793 1541295 1753325 1893591 2254275 2454655 2568825 3155985 4418379 5259975 6762825 7363965 7706475 9467955 12273275 13255137 15779925 22091895 36819825 47339775 66275685 110459475 331378425