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940093452 = 223413721179
BaseRepresentation
bin111000000010001…
…011000000001100
32102111221200210000
4320002023000030
53411130442302
6233141244300
732203443144
oct7002130014
92374850700
10940093452
11442727141
12222a03690
1311c9c391c
148cbd5924
15577eb31c
hex3808b00c

940093452 has 60 divisors (see below), whose sum is σ = 2475645480. Its totient is φ = 311062464.

The previous prime is 940093423. The next prime is 940093471. The reversal of 940093452 is 254390049.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33799 + ... + 54977.

It is an arithmetic number, because the mean of its divisors is an integer number (41260758).

Almost surely, 2940093452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940093452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237822740).

940093452 is an abundant number, since it is smaller than the sum of its proper divisors (1535552028).

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

940093452 is a wasteful number, since it uses less digits than its factorization.

940093452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21332 (or 21321 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 940093452 is about 30660.9434297120. The cubic root of 940093452 is about 979.6185701508.

It can be divided in two parts, 94009 and 3452, that added together give a triangular number (97461 = T441).

The spelling of 940093452 in words is "nine hundred forty million, ninety-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1233 1644 2466 3699 4932 7398 11097 14796 21179 22194 42358 44388 63537 84716 127074 190611 254148 381222 571833 762444 1143666 1715499 2287332 2901523 3430998 5803046 6861996 8704569 11606092 17409138 26113707 34818276 52227414 78341121 104454828 156682242 235023363 313364484 470046726 940093452