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697213440 = 29335711131
BaseRepresentation
bin101001100011101…
…010001000000000
31210120221010001000
4221203222020000
52411441312230
6153103412000
723164134150
oct5143521000
91716833030
10697213440
11328616860
121755b4000
13b15a4c41
1468850760
1541321b60
hex298ea200

697213440 has 640 divisors, whose sum is σ = 3111229440. Its totient is φ = 143769600.

The previous prime is 697213423. The next prime is 697213453. The reversal of 697213440 is 44312796.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6972134402 = 972213161833267200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 697213395 and 697213404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322175 + ... + 5322305.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2697213440 is an apocalyptic number.

697213440 is a gapful number since it is divisible by the number (60) 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 697213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555614720).

697213440 is an abundant number, since it is smaller than the sum of its proper divisors (2414016000).

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

697213440 is a wasteful number, since it uses less digits than its factorization.

697213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 697213440 is about 26404.7995637157. The cubic root of 697213440 is about 886.7242454804.

The spelling of 697213440 in words is "six hundred ninety-seven million, two hundred thirteen thousand, four hundred forty".