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749029680 = 2434573337
BaseRepresentation
bin101100101001010…
…100100100110000
31221012102122120000
4230221110210300
53013222422210
6202154150000
724363435000
oct5451244460
91835378500
10749029680
113548980a3
1218aa22300
13bc247c39
147169c000
1545b59ac0
hex2ca54930

749029680 has 400 divisors, whose sum is σ = 3042811200. Its totient is φ = 170698752.

The previous prime is 749029679. The next prime is 749029691. The reversal of 749029680 is 86920947.

It is a happy number.

It is a super-2 number, since 2×7490296802 = 1122090923041804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222472 + ... + 2222808.

It is an arithmetic number, because the mean of its divisors is an integer number (7607028).

Almost surely, 2749029680 is an apocalyptic number.

749029680 is a gapful number since it is divisible by the number (70) 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 749029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521405600).

749029680 is an abundant number, since it is smaller than the sum of its proper divisors (2293781520).

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

749029680 is a wasteful number, since it uses less digits than its factorization.

749029680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 749029680 is about 27368.4066032351. The cubic root of 749029680 is about 908.1683076646.

The spelling of 749029680 in words is "seven hundred forty-nine million, twenty-nine thousand, six hundred eighty".