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740093472 = 253219211641
BaseRepresentation
bin101100000111001…
…110111000100000
31220120121122101100
4230013032320200
53003430442342
6201234434400
724224455626
oct5407167040
91816548340
10740093472
1134a8441a8
12187a32a00
13ba439641
1470413516
1544e91e4c
hex2c1cee20

740093472 has 144 divisors (see below), whose sum is σ = 2229383520. Its totient is φ = 232243200.

The previous prime is 740093441. The next prime is 740093503. The reversal of 740093472 is 274390047.

It is an interprime number because it is at equal distance from previous prime (740093441) and next prime (740093503).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154272 + ... + 1154912.

It is an arithmetic number, because the mean of its divisors is an integer number (15481830).

Almost surely, 2740093472 is an apocalyptic number.

740093472 is a gapful number since it is divisible by the number (72) 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 740093472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114691760).

740093472 is an abundant number, since it is smaller than the sum of its proper divisors (1489290048).

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

740093472 is a wasteful number, since it uses less digits than its factorization.

740093472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 876 counting only the distinct ones).

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

The square root of 740093472 is about 27204.6590127500. The cubic root of 740093472 is about 904.5422517475.

The spelling of 740093472 in words is "seven hundred forty million, ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 211 228 288 304 342 422 456 608 633 641 684 844 912 1266 1282 1368 1688 1824 1899 1923 2532 2564 2736 3376 3798 3846 4009 5064 5128 5472 5769 6752 7596 7692 8018 10128 10256 11538 12027 12179 15192 15384 16036 20256 20512 23076 24054 24358 30384 30768 32072 36081 36537 46152 48108 48716 60768 61536 64144 72162 73074 92304 96216 97432 109611 128288 135251 144324 146148 184608 192432 194864 219222 270502 288648 292296 384864 389728 405753 438444 541004 577296 584592 811506 876888 1082008 1154592 1169184 1217259 1623012 1753776 2164016 2434518 2569769 3246024 3507552 4328032 4869036 5139538 6492048 7709307 9738072 10279076 12984096 15418614 19476144 20558152 23127921 30837228 38952288 41116304 46255842 61674456 82232608 92511684 123348912 185023368 246697824 370046736 740093472