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1354240512 = 2933163601
BaseRepresentation
bin101000010111000…
…0001001000000000
310111101020112202000
41100232001020000
510233141144022
6342214024000
745362566032
oct12056011000
93441215660
101354240512
11635484a39
12319648000
13187749561
14cbbddc52
157dd566ac
hex50b81200

1354240512 has 160 divisors (see below), whose sum is σ = 4039949760. Its totient is φ = 447897600.

The previous prime is 1354240499. The next prime is 1354240513. The reversal of 1354240512 is 2150424531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1354240513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2253012 + ... + 2253612.

It is an arithmetic number, because the mean of its divisors is an integer number (25249686).

Almost surely, 21354240512 is an apocalyptic number.

1354240512 is a gapful number since it is divisible by the number (12) 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 1354240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019974880).

1354240512 is an abundant number, since it is smaller than the sum of its proper divisors (2685709248).

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

1354240512 is an equidigital number, since it uses as much as digits as its factorization.

1354240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1354240512 is about 36800.0069565211. The cubic root of 1354240512 is about 1106.3654385711.

The spelling of 1354240512 in words is "one billion, three hundred fifty-four million, two hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 256 288 326 384 432 489 512 576 601 652 768 864 978 1152 1202 1304 1467 1536 1728 1803 1956 2304 2404 2608 2934 3456 3606 3912 4401 4608 4808 5216 5409 5868 6912 7212 7824 8802 9616 10432 10818 11736 13824 14424 15648 16227 17604 19232 20864 21636 23472 28848 31296 32454 35208 38464 41728 43272 46944 57696 62592 64908 70416 76928 83456 86544 93888 97963 115392 125184 129816 140832 153856 173088 187776 195926 230784 250368 259632 281664 293889 307712 346176 375552 391852 461568 519264 563328 587778 692352 751104 783704 881667 923136 1038528 1126656 1175556 1384704 1567408 1763334 2077056 2253312 2351112 2645001 2769408 3134816 3526668 4154112 4702224 5290002 6269632 7053336 8308224 9404448 10580004 12539264 14106672 18808896 21160008 25078528 28213344 37617792 42320016 50157056 56426688 75235584 84640032 112853376 150471168 169280064 225706752 338560128 451413504 677120256 1354240512