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5340372948 = 22323733711897
BaseRepresentation
bin1001111100100111…
…11001111111010100
3111210011212001110200
410332103321333110
541414113413243
62241530420500
7246224264301
oct47623717724
914704761420
105340372948
1122a0557269
121050591730
13671523bc1
143893840a8
15213c8cad3
hex13e4f9fd4

5340372948 has 72 divisors (see below), whose sum is σ = 13906429992. Its totient is φ = 1726728192.

The previous prime is 5340372929. The next prime is 5340372971. The reversal of 5340372948 is 8492730435.

5340372948 is a `hidden beast` number, since 534 + 0 + 3 + 72 + 9 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3049027524 + 2291345424 = 55218^2 + 47868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442936 + ... + 454832.

It is an arithmetic number, because the mean of its divisors is an integer number (193144861).

Almost surely, 25340372948 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 5340372948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953214996).

5340372948 is an abundant number, since it is smaller than the sum of its proper divisors (8566057044).

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

5340372948 is a wasteful number, since it uses less digits than its factorization.

5340372948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12281 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5340372948 is about 73077.8553872512. The cubic root of 5340372948 is about 1747.9293002386.

The spelling of 5340372948 in words is "five billion, three hundred forty million, three hundred seventy-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 337 444 666 674 1011 1332 1348 2022 3033 4044 6066 11897 12132 12469 23794 24938 35691 37407 47588 49876 71382 74814 107073 112221 142764 149628 214146 224442 428292 440189 448884 880378 1320567 1760756 2641134 3961701 4009289 5282268 7923402 8018578 12027867 15846804 16037156 24055734 36083601 48111468 72167202 144334404 148343693 296687386 445031079 593374772 890062158 1335093237 1780124316 2670186474 5340372948