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331284480 = 21635337
BaseRepresentation
bin10011101111110…
…000000000000000
3212002100222212120
4103233300000000
51134302100410
652512324240
711131604652
oct2357600000
9762328776
10331284480
11160001a2a
1292b43680
1353832627
1431dd86d2
151e13d570
hex13bf0000

331284480 has 136 divisors (see below), whose sum is σ = 1063247952. Its totient is φ = 88080384.

The previous prime is 331284451. The next prime is 331284497. The reversal of 331284480 is 84482133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982872 + ... + 983208.

Almost surely, 2331284480 is an apocalyptic number.

331284480 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 331284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531623976).

331284480 is an abundant number, since it is smaller than the sum of its proper divisors (731963472).

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

331284480 is an frugal number, since it uses more digits than its factorization.

331284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 331284480 is about 18201.2219370019. The cubic root of 331284480 is about 691.9377582207.

The spelling of 331284480 in words is "three hundred thirty-one million, two hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 337 384 480 512 640 674 768 960 1011 1024 1280 1348 1536 1685 1920 2022 2048 2560 2696 3072 3370 3840 4044 4096 5055 5120 5392 6144 6740 7680 8088 8192 10110 10240 10784 12288 13480 15360 16176 16384 20220 20480 21568 24576 26960 30720 32352 32768 40440 40960 43136 49152 53920 61440 64704 65536 80880 81920 86272 98304 107840 122880 129408 161760 163840 172544 196608 215680 245760 258816 323520 327680 345088 431360 491520 517632 647040 690176 862720 983040 1035264 1294080 1380352 1725440 2070528 2588160 2760704 3450880 4141056 5176320 5521408 6901760 8282112 10352640 11042816 13803520 16564224 20705280 22085632 27607040 33128448 41410560 55214080 66256896 82821120 110428160 165642240 331284480